MCQs of Three Dimensional Geometry

Showing 101 to 110 out of 188 Questions

101.

The equation of the plane passing through the points (3,4,2),(2,2,-1) and (7,0,6) is _____

102.

Find the equation of the plane whose normal through origin has length \sqrt{2} and direction angles are \frac{π}{6}, \frac{π}{4} and \frac{π}{3}_____

103.

Equation of a line perpendicular to the plane 3x+4y-5z=6 and passing through (1, 2, 3) is _____

104.

Measure of angle between the line \frac{x}{2} = \frac{y}{2} = \frac{z}{1} and the plane 2 x - 2 y + z = 1 is_____

105.

If the plane intersect the axes at A, B and C and the centroid of Δ is (1,3,1), the equation of the plane is _____

106.

Perpendicular distance between the planes 2 x + 2 y - z + 1 = 0 and x + y - \frac{z}{2} + 2 = 0 is_____

107.

If a foot of the perpendicular from (1, -1, 1) to plane is (2, 0, 3) then equation of the plane is_____

108.

If A (4, 5, - 10) and B (- 1, 2, 1) then equation of perpendicular bisector plane of \bar{AB} is_____

(a)	$\bar{r} . (5 \bar{i} + 3 \bar{j} - 11 \bar{k}) + \frac{135}{2} = 0$
(b)	$\bar{r} . (5 \bar{i} + 3 \bar{j} - 11 \bar{k}) - \frac{135}{2}$
(c)	$\bar{r} . (\frac{3}{2} \bar{i} + \frac{7}{2} \bar{j} - \frac{9}{2} \bar{k}) = 5 \bar{i} + 3 \bar{j} - 11 \bar{k}$
(d)	none of these

109.

If the perpendicular from the plane makes angle of equal measures with

\hat{i}

\hat{j}

\hat{k}

and its length is

\sqrt{3}

, then what is the equation of the plan ?

110.

A plane intersects the axes at A, B, C respectively and (α, β, γ) is a centroid of ∆ ABC then equation of the plane is_____

Showing 101 to 110 out of 188 Questions